论文标题
椭圆多项式的零的预期能量
Expected energy of zeros of elliptic polynomials
论文作者
论文摘要
2011年，Armentano，Beltrán和Shub在\ cite {abs11}中获得了一个封闭的表达，用于由随机椭圆多项式的根部给出的随机点过程的预期对数能量。我们考虑了一种不同的方法，该方法使我们能够将研究扩展到Riesz能量并计算预期的分离距离。
In 2011, Armentano, Beltrán and Shub obtained in \cite{ABS11} a closed expression for the expected logarithmic energy of the random point process on the sphere given by the roots of random elliptic polynomials. We consider a different approach which allows us to extend the study to the Riesz energies and to compute the expected separation distance.
